1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veronika [31]
3 years ago
15

Please solve #9 for me idk how to do it

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Exterior Angle Theorem basically says that if there's an angle that makes a 180° with one of the angles of a triangle, the other two angles of that triangle must be equal to the angle outside.

In the context of this problem, that means m∠SAB is equal to m∠B + m∠C. Putting that into an equation would look like this: 19x + 8= 75 + 6x +11 \\ 19x + 8 = 86+ 6x.

From here, we can solve for x with the usual methods. Here's how it would look: 19x +8-8 = 86+6x-8\\ 19x=  78 +6x \\ 19x -6x = 78 +6x -6x \\ 13x = 78 \\ \frac{13}{13}x = \frac{78}{3} \\ x = 6.

With x being six, we can now find the angle measures of all of the angles in the problem by plugging it into the angles that have x and using our rules along with our theorems from there.  Let's start with ∠C, which is 6x + 11. It would look like this: C=6(6) +11 \\ C= 36 + 11 \\ C = 47. Now we know that m∠C is 47°, we can find the angle outside through exterior angle theorem again. We can set it up and solve it like this:

A = 47 + 75 \\ A = 122

So we know that the exterior angle is 122°. We also know that the interior angle (the one inside that we don't know yet) is a supplementary angle to our exterior angle (meaning that their angles add up to 180° and that they make a straight line). From this, we can find the angle by subtracting 122 from 180. This gets us 58°.

So, your angles measures are the exterior angle being 122°, the interior angle being 58°, and m∠C being 47°. Also, your x value is 6.

You might be interested in
The two lines y=2/5x+9 and y= -2/5x-9 are: <br> a) parallel <br> b) perpendicular <br> c)neither
irakobra [83]

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope and different y-intercept

perpendicular lines have the reciprocal as slopes( 2/5 and 5/2)

as these slopes have neither the answer in NEITHER

8 0
3 years ago
Which point on the unit circle corresponds to −π ?
Arada [10]
On the unit circle:
( 1, 0 ) corresponds to 0.
( 0, 1 ) corresponds to π/2
( -1, 0 ) corresponds to π
( 0, - 1 ) corresponds to 3π/2
- π = π
Answer:
D ) ( - 1 , 0 )
6 0
2 years ago
Read 2 more answers
38.5 kilometers per hour _____ 642 meters per minute<br> &lt;,&gt;,=?
nikitadnepr [17]
<
38.5000 kph < 38.5199 kph
3 0
3 years ago
What does h(40) = 1400 mean in terms of the problem
frutty [35]
The answer is B because 40 is under hours of training and 1400 is under monthly pay


4 0
3 years ago
Read 2 more answers
Which table represents a linear function? (will give brainliest)
kvasek [131]

Answer:

\huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\

<em><u>Linear function :</u></em>The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.

Step-by-step explanation:

We have

y=mx+c

for 1st

not satisfied.

for

2nd

not satisfied

<em><u>3rd</u></em>

<em><u>3rd satisfied</u></em>

4th

[note : substitute value of x to get value of y from table]

so

<u>t</u><u>h</u><u>i</u><u>r</u><u>d</u><u> </u><u>table represents a linear function.</u>

3 0
2 years ago
Read 2 more answers
Other questions:
  • Find the point that lies on the following linear equation: y = -2x + 1.
    14·2 answers
  • (10 points)I REALLY NEED HELP NOW!! (A) positive (b)negative (c)zero
    7·2 answers
  • What is 5 4/9 take away 1 7/9
    11·1 answer
  • 8x10^30/2x10^12 in scientific notation?
    11·1 answer
  • Find the slope from the given equation. 9y = -3x + 5
    8·2 answers
  • Triangle ABC is similar to triangle DEF. Find the measure of side EF. Figures are not drawn to scale.
    10·1 answer
  • What is 5 times 3 times 7 add 7
    14·1 answer
  • Use three of the numbers 3, 4,
    8·2 answers
  • Please help and explain how you did it! Because I 4got....
    10·2 answers
  • What is the answer for this problem I need help!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!